26106125 has 12 divisors (see below), whose sum is σ = 32651892. Its totient is φ = 20839200.

The previous prime is 26106107. The next prime is 26106131. The reversal of 26106125 is 52160162.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 996004 + 25110121 = 998^2 + 5011^2 .

It is a de Polignac number, because none of the positive numbers 2^k-26106125 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26106125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56897 + ... + 57353.

It is an arithmetic number, because the mean of its divisors is an integer number (2720991).

Almost surely, 2^26106125 is an apocalyptic number.

26106125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26106125 is a deficient number, since it is larger than the sum of its proper divisors (6545767).

26106125 is an frugal number, since it uses more digits than its factorization.

26106125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 26106125 is about 5109.4153285870. The cubic root of 26106125 is about 296.6521300512.

Multiplying 26106125 by its product of nonzero digits (720), we get a square (18796410000 = 137100²).

Adding to 26106125 its reverse (52160162), we get a palindrome (78266287).

The spelling of 26106125 in words is "twenty-six million, one hundred six thousand, one hundred twenty-five".